The Leyland National design evolved and the Leyland National 2 was introduced in 1979. The notable differences from the earlier Nationals were the use of the O.680 engine instead of the fixed-head 510 engine which had not been universally popular and a front-mounted radiator which led to a more bulbous body front.

Taff-Ely bought three of these in 1980; 32-34 (FUH 32-34V) were 11.6m long variants with B49F bodies. They were sold in May 1988 to Burnley & Pendle (who had also bought National Welsh’s only National 2s). They initially ran there in Taff-Ely livery but were quickly repainted.